Finite Group Databasebeta

C2×Q8×D967 #44526160

order30944
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×Q8×D967

Splittings

FittingC2×Q8×C967 ⋊ C2
SylowC967 ⋊ C22×Q8

Subgroups

subgroupG/H
centerC22C22×D967
commutator, cosocleC2×C967C24
FrattiniC2C23×D967
FittingC2×Q8×C967C2
socleC22×C967C23
prime radicalC22×D967C22
hypercenterC2×Q8D967
hypocenterC967C22×Q8
LCSG ▷ C2×C967 ▷ C967
UCSC1 ◁ C22 ◁ C2×Q8

156 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15472

Conjugacy classes & character table

4850 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30944, 185);